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Peer-reviewed Journal Articles, etc >
Singularities of Anti de Sitter torus Gauss maps
| Title: | Singularities of Anti de Sitter torus Gauss maps |
| Authors: | Chen, Liang Browse this author | | Izumiya, Shyuichi Browse this author |
| Keywords: | Anti de Sitter 3-space | | timelike surface | | AdS-nullcone Gauss image | | AdS-torus Gauss map | | Legendrian singularities |
| Issue Date: | Mar-2010 |
| Publisher: | Springer Berlin / Heidelberg |
| Journal Title: | Bulletin of the Brazilian Mathematical Society |
| Volume: | 41 |
| Issue: | 1 |
| Start Page: | 37 |
| End Page: | 61 |
| Publisher DOI: | 10.1007/s00574-010-0002-3 |
| Abstract: | We study timelike surfaces in Anti de Sitter 3-space as an application of singularity theory. We define two mappings associated to a timelike surface which are called a Anti de Sitter nullcone Gauss image and a Anti de Sitter torus Gauss map. We also define a family of functions named the Anti de Sitter null height function on the timelike surface. We use this family of functions as a basic tool to investigate the geometric meanings of singularities of the Anti de Sitter nullcone Gauss image and the Anti de Sitter torus Gauss map. |
| Rights: | The final publication is available at www.springerlink.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/42975 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 泉屋 周一
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